Molecular Motion and Heteronuclear Relaxation Part I – Lecture Outline Chris Brosey, 11/16/2010 Overview Why study biomolecular dynamics? Brief survey of protein motion: Global rotational diffusion – the diffusion tensor Local NH bond fluctuations – the model-free formalism, extended model-free formalism Bringing all motions together – the spectral density function Finding a way to study motion with NMR – how motion stimulates relaxation of excited nuclei How can we measure protein motion by monitoring NMR relaxation? Expressions for relaxation rates in terms of spectral density values at transition frequencies, J(w) Molecular Motion and Heteronuclear Relaxation Part II – Lecture Outline Chris Brosey, 11/18/2010 Measuring relaxation rates – R1, R2, and NOE pulse sequences and data analysis Spectral density mapping Full versus reduced approaches Analysis of Motion Diffusion tensor extraction Model-Free analysis Brief overview of different schools of thought – ModelFree (Palmer), relax (d’Auvergne) Examples from our lab and the literature Up and coming areas for biomolecular dynamics and NMR relaxation Molecular Motion and Heteronuclear Relaxation References and Further Reading Reviews Korzhnev, D.M., Billeter, M., Arseniev, A.S., and Orekhov, V.Y. NMR studies of Brownian tumbling and internal motions in proteins. Proj. Nuc. Mag. Res. Spec., 38: 197-266 (2001). Palmer, A.G. NMR probes of molecular dynamics: Overview and comparison with other techniques. Annu. Rev. Biophys. Biomol., 30: 129-55 (2001). Luginbuhl, P. and Wuthrich, K. Semi-classical nuclear spin relaxation theory revisited for use with biological macromolecules. Proj. Nuc. Mag. Res. Spec., 40: 199-247 (2002). Palmer, A. NMR characterization of the dynamics of biomacromolecules. Chem. Rev., 104: 3623-3640 (2004). Morin, S. A practical guide to protein dynamics from 15N spin relaxation in solution. Prog. NMR Spec. (in press). Kleckner, I.R. and Foster, M.P. An introduction to NMR-based approaches for measuring protein dynamics. BBA - Proteins and Proteomics (in press). Boehr, D.D., Dyson, H.J., and Wright, P.E. An NMR perspective on enzyme dynamics. Chem. Rev. 106: 3055-79 (2006). Diffusion tensor calculations Bruschweiler, R., Liao, X., Wright, P.E. Long-range motional restrictions in a multidomain zincfinger protein from anisotropic tumbling. Science, 268: 886-80 (1995). Tjandra, N., Feller, S.E., Pastor, R.W., and Bax, A. Rotational diffusion anisotropy of human ubiquitin from 15N NMR relaxation. JACS, 117: 12562-66 (1995). Fushman, D., Xin, R., and Cowburn, D. Direct determination of changes of interdomain orientation on ligation: Use of the orientational dependence of 15N NMR relaxation in Abl SH(32). Biochemistry, 38: 10225-30 (1999). Walker, O., Varadan, R., and Fushman, D. Efficient and accurate determination of the overall rotational diffusion tensor of a molecule from 15N relaxation data using computer program ROTDIF. J. Mag. Res., 168: 336-45 (2004). Model-free formalism (MF) and Extended model-free formalism (EMF) Lipari, G. and Szabo, A. Model-free approach to the interpretation of nuclear magnetic resonance relaxation in macromolecules. I. Theory and range of validity. JACS, 104: 4546-59 (1982). Lipari, G. and Szabo, A. Model-free approach to the interpretation of nuclear magnetic resonance relaxation in macromolecules. II. Analysis of experimental results. JACS, 104: 455970 (1982). Clore, G.M., Szabo, A., Bax, A., Kay, L.E., Driscoll, P.C., Gronenborn, A.M. Deviations from the simple two-parameter model-free approach to the interpretation of nitrogen-15 nuclear magnetic relaxation of proteins. JACS, 112: 4989-91 (1990). Classic examples of heteronuclear relaxation studies and model-free analysis Palmer, A.G., Rance, M., and Wright, P.E. Intramolecular motions of a zinc finger DNA-binding domain from xfin characterized by proton-detected natural abundance 13C heteronuclear NMR spectroscopy. JACS, 113: 4371-80 (1991). Mandel A.M., Akke, M., Palmer, A.G. Backbone dynamics of Escherichia coli ribonuclease HI: correlations with structure and function in an active enzyme. J. Mol. Biol., 246: 144-63 (1995). Hydrodynamic R1 and R2 prediction software De la Torre, J.G., Huertas, M.L., and Carrasco, B. HYDRONMR: Prediction of NMR relaxation of globular proteins from atomic-level structures and hydrodynamic calculations. J. Mag. Res., 147: 138-46 (2000).